Percentage Word Problem (Discount) // Marked Price// Sale Price// Profit// Loss

Percentage Word Problem 

(Discount)

Very often, retailers are not able to sell defective merchandise, overstocked items, or discontinued models at retail selling prices. To clear the merchandise in stock, the items are usually sold at a lower price, called the sale price. The difference between the original selling price, also known as the marked price, and the sale price is called the discount:

            Discount = marked price - sale price

The discount is often given as a percentage of the marked price:

               Discount / Marked price  x 100%

Q.1. A watch priced at $160 is sold for $100. Find the percentage discount.

Solution:

Discount = marked price - sale price

              = $160 - $100

              = $60

Percentage discount  = $60/$160  x 100%

                                      =   37.5%

Q.2. The marked price of a washing machine is $600. A discount of 6% is given during a sale. Find the sale price of the washing machine.

Solution:

Discount  = marked Price  X  Rate of Discount

                = $600  X  .06

                = $36

Sale Price   =  Marked Price -  Discount

                    =  $600  - $36

                      = $564 Ans.

 

Q.1. A laptop priced at $150 is sold for $100. Find the percentage discount.

Solution:

Discount = marked price - sale price

                = $150 - $100

                = $50

Percentage discount  = $50/$150  x 100%

                                     =   33.3% 

Q.2. A sculpture is sold for $533 after a discount of 18%. 

i) Calculate the marked price of the sculpture.

ii)  If a 10% discount is given on the marked price of the sculpture before it is sold at a further discount of 8%, would the sale price still be $533? Show your work clearly.

Solution:

i) 82% of the marked price = $533

1 % of the marked price =  $533/82

100% of the marked price = $533/82 x 100

                                            = $650

The marked price of the sculpture is $650.

ii) Sale price of sculpture after a 10% discount = 90/100 x $650 

                                                                                = $585

The sale price of the sculpture after a further discount of 8% = 92/100 x $585 

                                                                                           = $538.20

N0, the sale price would not be  $533.